For conversions that skip the base unit, convert to the 100 prefix first.
Example: Convert 0.112km to cm = 0.112km×1000m/km×100cm/m = 0.112×1000×100cm
The kilometers and meters cancel each other out and so it becomes 11200cm
0.112km= 11200cm or 1.12×104cm
By including units in the calculations, the conversion factors set up nicely so that they cancel each other out as they multiply.
Do not put the same units on the numerator or denominator because they will not cancel
Example: Convert 12cm into meters
12cm×100cm/1m
The above is wrong because this would get you 1200cm2
Derived Quantity Conversions:
Examples: m/s or cm2
To convert derived quantities: Convert one unit first, and then the other
Example: Convert 150m/s into km/h
150m/s×1km/1000m×3600s/1h = (150×3600)/1000 = 540km/hour
Now let's look at some funny unit conversion jokes!
1. 52 cards = 1 decacards
2. How much time do you have between slipping on a peel and smacking on the pavement?
1 bananosecond
3. 453.6 graham crackers = 1 pound cake
4. 2,000 pounds of Chinese soup = Won ton
We will end with a video that teaches about multiple step conversions.
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